Question

In a right triangle with acute angle of measure theta, sintheta=1 /2. What is the value of costhetatheta? Draw a diagram as part of your response.

Answer 1

Answer:

0.866

Step-by-step explanation:

By definition

$sin \theta = \frac{Opposite}{Hypotenuse}$

$cos \theta = \frac{Adjacent}{Hypotenuse}$

We know that $sin \theta = 0.5$. Inverse of sine is arcsin, so, angle $\theta$ is computed as

$\theta=arcsin(0.5)=30$

Therefore, cosine of $\theta$ is  

cos (30°) = 0.866